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Finding the Fourth Proportional to 597.24, 891.81 and 489.24

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Solution

The fourth proportional to 597.24, 891.81 and 489.24 is: 730.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.24 : 891.81 = 489.24 : x
  2. Step 2: Convert to fraction form
    597.24/891.81 = 489.24/x
  3. Step 3: Cross multiply
    597.24x = 891.81 × 489.24
  4. Step 4: Simplify right side
    597.24x = 436,309.12
  5. Step 5: Solve for x
    x = 436,309.12/597.24
  6. Step 6: Final answer
    x = 730.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.